The QCD phase diagram: Results and challenges

Abstract

I review the progress made in recent years with functional methods in our understanding of the QCD phase diagram. In particular I discuss a renormalisation group approach to QCD at finite temperature and chemical potential. Results include the location of the confinement-deconfinement phase transition/cross-over and the chiral phase transition/cross-over lines, their nature as well as their interrelation.

Comments: 8 pages, 10 figures (pdflatex), plenary talk given at the conference "Quark Confinement and the Hadron Spectrum IX", August 30 - September 3, 2010, Madrid, Spain